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Finding the Fourth Proportional to 456.31, 629.82 and 309.10

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Solution

The fourth proportional to 456.31, 629.82 and 309.10 is: 426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.31 : 629.82 = 309.10 : x
  2. Step 2: Convert to fraction form
    456.31/629.82 = 309.10/x
  3. Step 3: Cross multiply
    456.31x = 629.82 × 309.10
  4. Step 4: Simplify right side
    456.31x = 194,677.36
  5. Step 5: Solve for x
    x = 194,677.36/456.31
  6. Step 6: Final answer
    x = 426.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.